{"id":2682,"date":"2013-12-18T05:17:41","date_gmt":"2013-12-18T05:17:41","guid":{"rendered":"http:\/\/blog.nus.edu.sg\/biomm\/?p=565"},"modified":"2013-12-18T05:17:41","modified_gmt":"2013-12-18T05:17:41","slug":"atlas","status":"publish","type":"post","link":"http:\/\/www.labren.org\/mm\/projects\/atlas\/","title":{"rendered":"Statistical Humerus Implants and Associated Intramedullary Robotics"},"content":{"rendered":"<h2>Project Goals<\/h2>\n<p>The sizes of current off-the-shelf humerus implants are unable to accommodate Asian patients since they are mainly produced for American and European populations according to locally collected data. By creating statistical humerus atlases based on Asian data, gender-specific and region-specific humeral implants can be developed by considering the characteristics of the statistical atlas constructed in order to improve stability of the fixation and avoid related complications. Besides, it is envisioned that the statistical atlas can serve as a critical reference for development and evaluation of robots in surgical procedures. Particularly, for the surgical and interventional procedures in the confined and rotated intramedullary space, the curvature and shape statistics of internal humerus canal is of great significance for the dedicatedly design of snake-like curvilinear tubular robot.<\/p>\n<p>In this project, an efficient way has been demonstrated to construct statistical atlas by adopting an efficient alignment algorithm with improved efficiency and good accuracy. The constructed humerus atlas is then regarded as the reference for design of various humerus implants and development of snake-like concentric tube robots.<\/p>\n<h2>Approach<\/h2>\n<p>Statistical Atlas Construction: A three-step algorithm is adopted in statistical atlas construction, including segmentation, alignment and principal component analysis (PCA). Segmentation is to extract the desired surface mesh information of the humeri from the raw CT data and alignment is to align all the samples. The final step is to perform the principal component analysis of the shapes and represent the statistical model using principal components.<\/p>\n<div id=\"attachment_566\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/image001-26cjokt.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-566\" class=\"size-medium wp-image-566\" title=\"Flowchart\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/image001-26cjokt-300x198.png\" alt=\"Creation and application of a statistical humerus atlas\" width=\"300\" height=\"198\" \/><\/a><p id=\"caption-attachment-566\" class=\"wp-caption-text\">Creation and application of a statistical humerus atlas<\/p><\/div>\n<p>Centerline Extraction for Intramedullary Robot Design: The Laplacian-Based Contraction Method is adopted to extract the centerline of the humerus atlas. The purpose is to explore the intramedullary structure of the humerus since the curvature and shape statistics of internal humerus canal is significant for the design of snake-like curvilinear tubular robot.<\/p>\n<div id=\"attachment_583\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/statisticalCenterline-1enw0uw.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-583\" class=\"wp-image-583 size-medium\" title=\"statisticalCenterline\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/statisticalCenterline-1enw0uw-300x213.png\" alt=\"Centerline Extraction Process\" width=\"300\" height=\"213\" \/><\/a><p id=\"caption-attachment-583\" class=\"wp-caption-text\">Centerline Extraction Process<\/p><\/div>\n<p>Curvature Analysis for Design of Humerus Implants: The maximum principal curvature is depicted in the below Figure. The curvature analysis is to study the statistical surface curvature of the humerus atlas, in order to assist the design of humerus implants such as proximal and distal humerus locking plates, both used in orthopaedic trauma fixation.<\/p>\n<div id=\"attachment_584\" style=\"width: 219px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/PrincipalCurvature-1wrw0uk.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-584\" class=\"wp-image-584 size-full\" title=\"PrincipalCurvature\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/PrincipalCurvature-1wrw0uk.png\" alt=\"Principal curvature of the statistical humerus atlas\" width=\"209\" height=\"265\" \/><\/a><p id=\"caption-attachment-584\" class=\"wp-caption-text\">Principal curvature of the statistical humerus atlas<\/p><\/div>\n<h2>Current Results<\/h2>\n<p>By adopting the novel atlas construction algorithm, the statistical humerus atlas is constructed as shown in the below figure, where the shape variation is along the first three principal components (PCs) and each row is generated by varying the shape with -3 to +3 standard deviations.<\/p>\n<p><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/StatisticalHumerusAtlas-1q43e09.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-585 size-full\" title=\"StatisticalHumerusAtlas\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/StatisticalHumerusAtlas-1q43e09.png\" alt=\"\" width=\"554\" height=\"278\" \/><\/a><\/p>\n<p>The variation along the first principal component is shown here (click to view the animation). From -3std to +3std, the length of the humerus model is increased while the width is decreased.<\/p>\n<div id=\"attachment_586\" style=\"width: 310px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/Animation-Shape-variation-along-the-1st-principal-component-paanco.gif\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-586\" class=\"size-medium wp-image-586\" title=\"Animation-Shape variation along the 1st principal component\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/Animation-Shape-variation-along-the-1st-principal-component-paanco-300x225.gif\" alt=\"Shape variation along the 1st principal component\" width=\"300\" height=\"225\" \/><\/a><p id=\"caption-attachment-586\" class=\"wp-caption-text\">Shape variation along the 1st principal component<\/p><\/div>\n<p>Moreover, by analyzing the characteristics of the humerus atlas, the intramedullary continuum robot design and the proximal humerus locking plate are depicted in the following figures.<\/p>\n<p><div id=\"attachment_588\" style=\"width: 222px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/image011-26puo07.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-588\" class=\"size-full wp-image-588\" title=\"image011\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/image011-26puo07.jpg\" alt=\"Design of intramedullary continuum robot based on the statistical humerus atlas\" width=\"212\" height=\"90\" \/><\/a><p id=\"caption-attachment-588\" class=\"wp-caption-text\">Design of intramedullary continuum robot based on the statistical humerus atlas<\/p><\/div> <div id=\"attachment_589\" style=\"width: 281px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/image012-17ueqak.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-589\" class=\"wp-image-589 \" title=\"Proximal humerus locking plate\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2013\/12\/image012-17ueqak.png\" alt=\"Proximal humerus locking plate\" width=\"271\" height=\"191\" \/><\/a><p id=\"caption-attachment-589\" class=\"wp-caption-text\">Proximal humerus locking plate<\/p><\/div><\/p>\n<h2>People Involved<\/h2>\n<p>Staff: Keyu WU<br \/>\n Advisor: Hongliang REN<br \/>\n Clinicians: Keng Lin Wong, Zubin Jimmy Daruwalla, Diarmuid Murphy, National University Hospital<\/p>\n<h2>Publications<\/h2>\n<ul>\n<li>Wu K, Wong FKL, Ng SJK, Quek ST, Zhou B, Murphy D, Daruwalla ZJ and Ren H (2015), &#8220;Statistical atlas-based morphological variation analysis of the asian humerus: Towards consistent allometric implant positioning&#8221;, International Journal of Computer Assisted Radiology and Surgery. Vol. 10(3), pp. 317-327. Springer Berlin Heidelberg<\/li>\n<li>Wu K, Daruwalla ZJ, Wong FKL, Murphyand D and Ren H (2015), &#8220;Development and Selection of Asian-specific Humeral Implants based on Statistical Atlas: Towards Planning Minimally Invasive Surgery&#8221;, International Journal of Computer Assisted Radiology and Surgery. Vol. 10(8), pp. 1333-1345. Springer Berlin Heidelberg.<\/li>\n<li>Wu, K.; Wong, F. K. L.; Daruwalla, Z. J.; Murphy, D. &amp; Ren, H. Statistical Humerus Atlas for Optimal Design of Asian-Specific Humerus Implants and Associated Intramedullary Robotics, ROBIO 2013, IEEE International Conference on Robotics and Biomimetics, 2013; (Best Paper Finalist award)<\/li>\n<\/ul>\n<h2>Supporting materials<\/h2>\n<p align=\"center\">Supplementary information for<\/p>\n<p align=\"center\"><b>Statistical Atlas Based Morphologic Variation Analysis of the Asian Humerus: Towards Consistent Allometric Implant Positioning<\/b><\/p>\n<p align=\"center\">K. Wu, K. L. Wong, S. J. K. Ng, S. T.\u00a0Quek, B. Zhou, D. P. Murphy, Z. J.\u00a0Daruwalla, H. Ren*<\/p>\n<p>&nbsp;<\/p>\n<p>All\u00a0<a href=\"https:\/\/drive.google.com\/open?id=0B73EGtjOu-mBZHNWQnFHdHZzTVU\">data<\/a>\u00a0are published in\u00a0<a href=\"http:\/\/nifti.nimh.nih.gov\/nifti-1\">.nii<\/a>\u00a0format, which can be opened by ITK-SNAP (<a href=\"http:\/\/www.itksnap.org\/pmwiki\/pmwiki.php\">http:\/\/www.itksnap.org\/pmwiki\/pmwiki.php<\/a>) and 3D Slicer (<a href=\"http:\/\/www.slicer.org\/\">http:\/\/www.slicer.org\/<\/a>).<\/p>\n<p align=\"center\">Table 1.\u00a0Information of the subjects.<\/p>\n<table border=\"1\" width=\"100%\" cellspacing=\"0\" cellpadding=\"0\" align=\"left\">\n<tbody>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">Study Number<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">Male\/Female<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">Age<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">Race<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">Weight (kg)<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">Height (cm)<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">Exercise habit:<\/p>\n<p align=\"center\">S = sedentary,<\/p>\n<p align=\"center\">A = active<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">Left\/Right:<\/p>\n<p align=\"center\">L = left,<\/p>\n<p align=\"center\">R = right<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5260823<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">61<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">67.9<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">143<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5190438<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">16<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">55.6<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">160<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5186672<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">63<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">67.5<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">160<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5172526<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">50<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">61.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">170<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5018737<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">77<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">57.9<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">151<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">4636229<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">54<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">42.8<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">161<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">4585165<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">38<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">60.3<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">171<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L &amp; R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">4481609<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">83<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">60.1<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">149<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">4448930<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">49<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">I<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">73.7<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">150<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">4320030<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">69<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">63.7<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">163<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">4111802<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">63<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">57.4<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">160<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3969853<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">61<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">64.3<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">157<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3564131<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">19<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">97.5<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">167<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3495415<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">74<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">57.1<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">175<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3827904<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">33<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">64.2<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">170<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3722692<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">73<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">I<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">57.3<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">151<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3768879<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">20<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">65.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">170<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3771777<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">74<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">53.3<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">165<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L &amp; R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3159961<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">51<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">60.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">170<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3273883<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">80<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">54.8<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">155<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3384844<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">71<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">53.1<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">155<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3353378<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">78<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">40.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">140<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3271006<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">59<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">60.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">151<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3189139<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">47<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">72.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">179<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3132590<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">22<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">79.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">168<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3143094<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">23<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">60.6<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">162<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3282457<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">90<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">41.2<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">150<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3296805<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">57<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">61.2<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">160<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3326396<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">21<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">76.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">175<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3338591<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">61<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">56.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">153<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L &amp; R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">3060290<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">21<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">73.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">160<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5581085<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">49<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">81.9<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">159<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L &amp; R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5691045<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">45<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">45.1<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">161<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5731852<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">87<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">58.2<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">150<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5733267<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">57<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">56.4<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">142<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L &amp; R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5622431<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">64<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">I<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">52.9<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">162<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">6007641<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">M<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">44<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">I<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">74.2<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">165<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">6013682<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">74<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">52.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">153<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">S<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">R<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td nowrap=\"nowrap\" width=\"11%\">\n<p align=\"center\">5504982<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"10%\">\n<p align=\"center\">F<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"7%\">\n<p align=\"center\">24<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"8%\">\n<p align=\"center\">C<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"13%\">\n<p align=\"center\">54.0<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"14%\">\n<p align=\"center\">153<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"16%\">\n<p align=\"center\">A<\/p>\n<\/td>\n<td nowrap=\"nowrap\" width=\"17%\">\n<p align=\"center\">L<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: center\"><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2014\/05\/image001L-nxckra.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-756 aligncenter\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2014\/05\/image001L-nxckra-300x141.jpg\" alt=\"image001L\" width=\"300\" height=\"141\" \/><\/a><br \/>\n Fig. 1. Statistical male humerus atlas (left). The shape variation is along the first three principal components (PCs) and each row is generated by varying the shape with standard deviations ranging from -3\u221a(\u03bb_k ) to +3\u221a(\u03bb_k ).<\/p>\n<p style=\"text-align: center\"><a href=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2014\/05\/image004R-1qh94qh.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-757 aligncenter\" src=\"http:\/\/bioeng.nus.edu.sg\/mm\/wp-content\/uploads\/2014\/05\/image004R-1qh94qh-300x141.jpg\" alt=\"image004R\" width=\"300\" height=\"141\" srcset=\"http:\/\/www.labren.org\/mm\/wp-content\/uploads\/2014\/05\/image004R-1qh94qh-300x141.jpg 300w, http:\/\/www.labren.org\/mm\/wp-content\/uploads\/2014\/05\/image004R-1qh94qh-768x362.jpg 768w, http:\/\/www.labren.org\/mm\/wp-content\/uploads\/2014\/05\/image004R-1qh94qh-1024x482.jpg 1024w, http:\/\/www.labren.org\/mm\/wp-content\/uploads\/2014\/05\/image004R-1qh94qh-743x350.jpg 743w, http:\/\/www.labren.org\/mm\/wp-content\/uploads\/2014\/05\/image004R-1qh94qh-150x71.jpg 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><br \/>\n Fig. 2. Statistical female humerus atlas (left). The shape variation is along the first three principal components (PCs) and each row is generated by varying the shape with standard deviations ranging from -3\u221a(\u03bb_k ) to +3\u221a(\u03bb_k ).<\/p>\n<h2>References<\/h2>\n<p>[1] H. Ren, N. V. Vasilyev, and P. E. Dupont, \u201cDetection of curved robots using 3d ultrasound,\u201d in Intelligent Robots and Systems (IROS), 2011 IEEE\/RSJ International Conference on. IEEE, 2011, pp. 2083\u20132089.<br \/>\n [2] H. Ren and P. E. Dupont, \u201cArtifacts reduction and tubular structure enhancement in 3d ultrasound images,\u201d in International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC, 2011.<br \/>\n [3] G. Chintalapani, L. M. Ellingsen, O. Sadowsky, J. L. Prince, and R. H. Taylor, \u201cStatistical atlases of bone anatomy: construction, iterative improvement and validation,\u201d in Medical Image Computing and Computer-Assisted Intervention\u2013MICCAI 2007. Springer, 2007, pp. 499\u2013506.<br \/>\n [4] H. Ren and P. E. Dupont, \u201cTubular enhanced geodesic active contours for continuum robot detection using 3d ultrasound,\u201d in IEEE International Conference on Robotics and Automation, ICRA \u201912, 2012.<br \/>\n [5] X. Kang, H. Ren, J. Li, and W.-P. Yau, \u201cStatistical atlas based registration and planning for ablating bone tumors in minimally invasive interventions,\u201d in Robotics and Biomimetics (ROBIO), 2012 IEEE International Conference on. IEEE, 2012, pp. 606\u2013611.<br \/>\n [6] J. Cao, A. Tagliasacchi, M. Olson, H. Zhang, Z. Su, &#8220;Point Cloud Skeletons via Laplacian Based Contraction,&#8221; in Shape Modeling International Conference (SMI), pp. 21-23, 2010.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Project Goals The sizes of current off-the-shelf humerus implants are unable to accommodate Asian patients since they are mainly produced for American and European populations according to locally collected data. By creating statistical humerus atlases based on Asian data, gender-specific and region-specific humeral implants can be developed by considering the\u2026 <a class=\"continue-reading-link\" href=\"http:\/\/www.labren.org\/mm\/projects\/atlas\/\">Continue reading<\/a><\/p>\n","protected":false},"author":1,"featured_media":2353,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[45,9],"tags":[94],"class_list":["post-2682","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-planning","category-projects","tag-statistical-atlas"],"_links":{"self":[{"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/posts\/2682","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/comments?post=2682"}],"version-history":[{"count":0,"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/posts\/2682\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/media\/2353"}],"wp:attachment":[{"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/media?parent=2682"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/categories?post=2682"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.labren.org\/mm\/wp-json\/wp\/v2\/tags?post=2682"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}